Alexey Sharapov

Peierls’ brackets in non-Lagrangian field theory

The concept of Lagrange anchor introduced in [P.O. Kazinski, S.L. Lyakhovich, A.A. Sharapov, JHEP0507(2005)076] allows one to consistently quantize the non-Lagrangian dynamics within the path-integral approach. I will show that any Lagrange anchor gives rise to a covariant Poisson bracket on the space of true histories of the theory. The bracket generalizes the well-known Peierl’s bracket construction and makes a bridge between the path-integral and the deformation quantization of non-Lagrangian dynamics.